This article explores the mapping problem in parameter mapping sonification: the problem of how to map data to sound in a way that conveys meaning to the listener. We contend that this problem can be addressed by considering the implied conceptual framing of data–to–sound mapping strategies with a particular focus on how such frameworks may be informed by embodied cognition research and theories of conceptual metaphor. To this end, we discuss two examples of data-driven musical pieces which are informed by models from embodied cognition, followed by a more detailed case study of a sonic information design mapping strategy for a large-scale Internet of Things (IoT) network.